Chaotic behaviour of a Hamiltonian with a quartic potential

DOI10.1088/0305-4470/18/16/026zbMath0569.70021OpenAlexW2329622504MaRDI QIDQ3686107

C. M. Villet, Willi-Hans Steeb, A. Kunick

Publication date: 1985

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/18/16/026

zbMATH Keywords

stability analysisperiodic solutionchaotic behaviourPainlevé testquartic potentialCartan formnumerical treatmentsymmetry generatorLie-Bäcklund vector fieldssingular point analysisLie theory of extended vector fieldsToda-Brumer criterion

Mathematics Subject Classification ID

Hamilton's equations (70H05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Nonlinear dynamics in mechanics (70Kxx)

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